Question
Evaluate: 2 × {17 - 2 × (10 - 5)}
The correct answer is
14
To evaluate the expression 2 × {17 - 2 × (10 - 5)}, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's the step-by-step process:
- Simplify expressions inside the parentheses first:
- The innermost parentheses is (10 - 5). Calculate: 10 - 5 = 5.
- Substitute the result back into the expression: 2 × {17 - 2 × 5}.
- Next, perform the multiplication:
- Calculate 2 × 5 = 10.
- Update the expression: 2 × {17 - 10}.
- Now perform the subtraction:
- Calculate 17 - 10 = 7.
- Update the expression with the new result: 2 × 7.
- Finally, perform the multiplication:
- Calculate 2 × 7 = 14.
The evaluated result of the given expression is 14.
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Important Questions from Simplification
- Evaluate the given expression.
\(19-20\div4\) - Simplify the following expression:
\(9992 \times 10008\) - Evaluate: $-12 - \{-8 \times (6-12) + 30 \div (-6)\}$
Evaluate: (-9) - (-60) $ \div $ (-10) + (-3) × 8
Find the value of: [836 ÷ {30 + 2 × ( 7 − 3 )}].
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